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Unformatted text preview: 57:020 Mechanics of Fluids and Transport Fall 2009 Exam 3, December 14, 2009 1. Water flows through a circular nozzle, exits into the air as a jet, and strikes a plate as shown in Fig. 1. The force required to hold the plate steady is 70 N. Assuming steady, frictionless, one dimensional flow, estimate (a) the velocity at sections (1) and (2) and (b) the mercury manometer reading h . (Water, = 998 kg/m 3 ; Mercury, = 13,600 kg/m 3 ) 2. Consider the inviscid, incompressible, steady flow along the horizontal streamline A B in front of the sphere of radius a = 10 cm, as shown in Fig. 2. From a more advanced theory of flow past a sphere, the fluid velocity along this streamline is V = V (1+ a 3 / x 3 ) where V = 10 m/s. At x = 2 a , determine (a) the acceleration and (b) the pressure gradient dp / dx of the fluid. ( = 1.23 kg/m 3 ; Euler equation ) Fig. 1 Fig. 2 3. In some locations with very hard water, a scale can build up on the walls of pipes to such an ex...
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This note was uploaded on 12/08/2011 for the course MECHANICS 57:020 taught by Professor Fredrickstern during the Fall '10 term at University of Iowa.
 Fall '10
 FredrickStern
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